Abstracted StringDivision to work with arbitrary containers and digit-types

This commit is contained in:
Leonetienne
2022-02-27 18:56:20 +01:00
parent 1903f19b96
commit 63400955af
5 changed files with 258 additions and 199 deletions

View File

@@ -1,52 +1,5 @@
#include "GeneralUtility.h"
#include <string>
#include <sstream>
#include <stdexcept>
// Based on: https://www.geeksforgeeks.org/divide-large-number-represented-string/
std::pair<std::string, int>
GeneralUtility::StringDivision(const std::string& dividend, const unsigned int divisor, const std::string& set) {
// No set? Throw logic error
if (set.length() == 0)
throw std::logic_error("Can't divide a number of base0! Please supply a nonempty set!");
// No division by 0
if (divisor == 0)
throw std::overflow_error("Division by zero!");
// As result can be very large store it in string
std::stringstream ss;
// Find prefix of number that is larger than divisor.
int idx = 0;
int temp = Ord(dividend[idx], set);
while (temp < divisor)
temp = temp * set.length() + Ord(dividend[++idx], set);
// Repeatedly divide divisor with temp. After
// every division, update temp to include one
// more digit.
int curRest = temp % divisor;
while (dividend.size() > idx) {
// Store result in answer i.e. temp / divisor
ss << (char)(set[(temp / divisor)]);
curRest = temp % divisor;
// Take next digit of number
temp = (temp % divisor) * set.length() + Ord(dividend[++idx], set);
}
// If divisor is greater than number
if (ss.str().length() == 0)
{
// Generate 0-value string
std::stringstream ss;
ss << set[0];
return std::make_pair(ss.str(), BaseX_2_10(dividend, set));
}
// else return the answer
return std::make_pair(ss.str(), curRest);
}
std::string GeneralUtility::BaseX_2_Y(const std::string &num, const std::string &set_in, const std::string &set_out, const std::uint32_t minOutLen) {
if ((set_in.length() == 0) || (set_out.length() == 0))
@@ -64,7 +17,7 @@ std::string GeneralUtility::BaseX_2_Y(const std::string &num, const std::string
std::string buf = num;
while (buf != zeroInbase) {
const auto divRes = StringDivision(buf, set_out.length(), set_in);
const auto divRes = DigitstringDivision(buf, set_out.length(), set_in);
const std::uint64_t mod = divRes.second;
buf = divRes.first;
ss << set_out[mod];

View File

@@ -3,6 +3,8 @@
#include <algorithm>
#include <utility>
#include <sstream>
#include <stdexcept>
class GeneralUtility {
public:
@@ -21,7 +23,8 @@ public:
//! \param divisor The integer divisor
//! \param set The set/base of `dividend`
//! \return A pair of the result. (result, rest)
static std::pair<std::string, int> StringDivision(const std::string& dividend, const unsigned int divisor, const std::string& set = "0123456789");
template <class T_Container>
static std::pair<T_Container, int> DigitstringDivision(const T_Container& dividend, const unsigned int divisor, const T_Container& set);
//! Will convert a number of arbitrary base to base 10
//! \param num A string representing the number
@@ -95,4 +98,69 @@ int GeneralUtility::Ord(const T_Type& item, const T_Container& set) {
return result - set.begin();
}
// Based on: https://www.geeksforgeeks.org/divide-large-number-represented-string/
template <class T_Container>
std::pair<T_Container, int>
GeneralUtility::DigitstringDivision(const T_Container& dividend, const unsigned int divisor, const T_Container& set) {
// Quick rejects:
// No set? Throw logic error
if (set.size() == 0)
throw std::logic_error("Can't divide a number of base0! Please supply a nonempty set!");
// No division by 0
if (divisor == 0)
throw std::overflow_error("Division by zero!");
// Dividend size 0? Return 0.
if (dividend.size() == 0)
return std::make_pair(T_Container({set[0]}), 0);
// Verify that all digits are represented in the set/base
for (const auto& c : dividend)
if (Ord(c, set) == -1)
throw std::logic_error("The supplied dividend contains a digit that is not represented in the set/base!");
// Now for the actual algorithm:
T_Container result;
// Find prefix of number that is larger than divisor.
int idx = 0;
int temp = Ord(dividend[idx], set);
while (temp < divisor) {
idx++;
if (idx < dividend.size())
temp = temp * set.size() + Ord(dividend[idx], set);
else
break;
}
// Repeatedly divide divisor with temp. After
// every division, update temp to include one
// more digit.
int curRest = temp % divisor;
while (dividend.size() > idx) {
// Store result in answer i.e. temp / divisor
result.insert(result.cend(), set[temp / divisor]);
curRest = temp % divisor;
// Take next digit of number
idx++;
if (idx < dividend.size())
temp = (temp % divisor) * set.size() + Ord(dividend[idx], set);
}
// If divisor is greater than number
if (result.size() == 0) {
// Generate 0-value digitstring
result.clear();
result.insert(result.cend(), set[0]);
return std::make_pair(result, BaseX_2_10(dividend, set));
}
// else return the answer
return std::make_pair(result, curRest);
}
#endif //GENERALUTILITY_GENERALUTILITY_H